800013312 has 132 divisors (see below), whose sum is σ = 2640236976. Its totient is φ = 228556800.

The previous prime is 800013307. The next prime is 800013317. The reversal of 800013312 is 213310008.

800013312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800013307) and next prime (800013317).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800013317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58312 + ... + 70712.

Almost surely, 2^800013312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320118488).

800013312 is an abundant number, since it is smaller than the sum of its proper divisors (1840223664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800013312 is a wasteful number, since it uses less digits than its factorization.

800013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 800013312 is about 28284.5065716197. The cubic root of 800013312 is about 928.3229157632.

It can be divided in two parts, 8000 and 13312, that added together give a palindrome (21312).

The spelling of 800013312 in words is "eight hundred million, thirteen thousand, three hundred twelve".